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lilavasa [31]
1 year ago
11

An image point after a 180 rotation is (3,7). What were the coordinates of the pre-image point?(A)Z(-3,-7) (B)Z(7,3) (C)Z(-7,-3)

(D)Z(7,-3)
Mathematics
1 answer:
Ilia_Sergeevich [38]1 year ago
4 0

Answer:

(A)Z(-3,-7)

Explanation:

The rotation of a point (x,y) by 180 degrees gives the point (-x,-y).

That is:

\text{Rotation by }180^0=(x,y)\rightarrow(-x,-y)

If the image point after rotation is (3,7), the coordinates of the pre-image will be:

(x,y)=Z(-3,-7)

The correct option is A.

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First, take two points from the graph. Call these points (a, b) and (c, d).

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Call the slope m. You will need this later.

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Now, take one of the points, and plug it into the equation.

mx + b has the same m as the slope.

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To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tabl
Free_Kalibri [48]

Answer:

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in 5C2 ways.

There are n tables and we can choose 2 tables from n table in nC2 ways.

We can represent our given information in an equation as:

5C2\times nC2=150

\frac{5!}{2!(5-2)!}\times \frac{n!}{2!(n-2)!}=150

\frac{5*4*3!}{2*1*3!}\times \frac{n!}{2!(n-2)!}=150

10\times \frac{n!}{2!(n-2)!}=150

\frac{n!}{2!(n-2)!}=15

\frac{n!}{2*1*(n-2)!}=15

\frac{n*(n-1)*(n-2)!}{2*(n-2)!}=15

\frac{n(n-1)}{2}=15

n(n-1)=30

n^2-n=30

n^2-n-30=0

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(n-6)=0\text{ (or) }(n+5)=0

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8 0
3 years ago
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Answer:

final answer is 6

Step-by-step explanation:

Given f(x)=6x-2

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f(x+h)=6(x+h)-2=6x+6h-2

Now plug it in the formula

\frac{f(x+h)-f(x)}{h}

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\frac{6h}{h}

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The solution is in the attachment

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3 years ago
0.4567304 x 2.5678093 = ?
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Answer:

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Step-by-step explanation:

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